Magic State Factory Catalog

[\![2331,\,8,\,2]\!]

One factory with n=2331 inputs, k=8 outputs and distance d=2.

Inequivalent gates at [[2331, 8, 2]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{CS}_{01}\cdot \mathrm{CS}_{02}\cdot \mathrm{CS}_{03}\cdot \mathrm{CS}_{04}\cdot \mathrm{CS}_{05}\cdot \mathrm{CS}_{06}\cdot \mathrm{CS}_{07}\cdot \mathrm{CS}_{12}\cdot \mathrm{CS}_{13}\cdot \mathrm{CS}_{14}\cdot \mathrm{CS}_{15}\cdot \mathrm{CS}_{16}\cdot \mathrm{CS}_{17}\cdot \mathrm{CS}_{23}\cdot \mathrm{CS}_{24}\cdot \mathrm{CS}_{25}\cdot \mathrm{CS}_{26}\cdot \mathrm{CS}_{27}\cdot \mathrm{CS}_{34}\cdot \mathrm{CS}_{35}\cdot \mathrm{CS}_{36}\cdot \mathrm{CS}_{37}\cdot \mathrm{CS}_{45}\cdot \mathrm{CS}_{}\cdots 28 terms—14d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![2312,\,8,\,2]\!] · [\![2360,\,8,\,2]\!] · [\![2296,\,8,\,2]\!] · [\![2295,\,8,\,2]\!] · [\![2424,\,8,\,2]\!] · [\![2176,\,8,\,2]\!] · [\![2492,\,8,\,2]\!] · [\![2160,\,8,\,2]\!] · [\![2159,\,8,\,2]\!] · [\![2550,\,8,\,2]\!] · [\![2552,\,8,\,2]\!] · [\![2584,\,8,\,2]\!]